Question

Farmer brown planted corn and wheat on his 440 acres of land cost of planting and harvesting corn is $275 per acre the cost of planting and harvesting wheat is $140 per acre if Farmer Brown's total cost was $102,100 how many more acres of corn and wheat did the farmer plant

Answer 1

300 acres of corn and 140 acres of wheat

Explanation:

Let 'x' represents acres of corn

and 'y' represents acres of wheat

Lets form equations first.

-> Farmer brown planted corn and wheat on his 440 acres

x+y=440

x= 440 -y --> eq(1)

->harvesting corn is $275 per acre the cost of planting and harvesting wheat is $140 per acre

275x+140y=102,100

Substituting 'x' from eq(1) in above equation.

275(440-y) + 140y = 102,100

121000 - 275y + 140y = 102100

-135y= 102100-121000

-135y= -18900

y= 18900/ 135

y= 140 acres of wheat

plugging value of 'y' in eq(1)

(1)=>x= 440 -140

x= 300 acres of corn.

Therefore, there is 300 acres of corn and 140 acres of wheat. We can say that there is more acres of corn planted than acres of wheat using the equation x-y=300-140=160. There are 160 more acres of corn planted than wheat.